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Rainbow [258]
3 years ago
14

The air Temperature is -12C at sunrise and rises 4 degrees c every hour for several hours the air temperature after x hours is r

epresented by the function f(x)=4x-12
Find the intercepts then use the intercepts to graph the function complete the interpretation of the intercepts

Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0

Let f(x) = y.

y = 4x - 12

Let x = 0

y = 4(0) - 12

y = - 12

This leads to the point (0, -12).

Let y = 0.

0 = 4x - 12

1 2 = 4x

12/4 = x

3 = x

This leads to the point (3, 0).

We now graph both points and then connect each point with a straight line.

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8 0
3 years ago
The coordinates of points M,N, and P are ....
Rainbow [258]

Answer:

(-1, -1) Let me know if the explanation didn't make sense.  

Step-by-step explanation:

If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left.  This means M is only connected to N here and P is only connected to N.  So we want to find the slope of these two lines.

MN is easy since their y values are the same, the slope is 0.

NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.

So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0.  To find these lines  weuse point slope form  for those two points.  The formula for point slope form is y - y1 = m(x-x1)

y-3 = -4(x+2) -> y = -4x-5

y+1 = 0(x-5) -> y = -1

So now we want these two to intersect.  We just set them equal to each other.

-1 = -4x -5 -> -1 = x

So this gives us our x value.  Now we can plug that into either function to find the y value.  This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)

8 0
3 years ago
If a 12 foot ppiece of electrical tape has 5 pieces that are each 1.45 feet cut from it, what is the new length of the tape?
liberstina [14]
4.75 feet, because you would multiply 5 by 1.54 which gives you 7.25 subtract that from 12
6 0
3 years ago
Sonya is 22 years younger than her mother. the sum of their age is 32. how old are they​
Fantom [35]

Answer:

Sonya is ten her mother is 22

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Y=f(x)=(1/3)^x find f(x) when x=1
stellarik [79]

when x = 1,  f(1) = 1/3

Answer

1/3 or 0.3333 (3 is repeating)

8 0
4 years ago
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